Pith Number

pith:PA2RO5QW

pith:2025:PA2RO5QWJCYLCQPMCV6LU2OEHK

not attested not anchored not stored refs pending

Twisted associative algebras associated to vertex algebras

Shun Xu

arxiv:2506.01321 v1 · 2025-06-02 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PA2RO5QWJCYLCQPMCV6LU2OEHK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:14:11.688470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783517761648b0b141ec157cba69c43ab938f8457e6336e225193e0d34156285

Aliases

arxiv: 2506.01321 · arxiv_version: 2506.01321v1 · doi: 10.48550/arxiv.2506.01321 · pith_short_12: PA2RO5QWJCYL · pith_short_16: PA2RO5QWJCYLCQPM · pith_short_8: PA2RO5QW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PA2RO5QWJCYLCQPMCV6LU2OEHK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 783517761648b0b141ec157cba69c43ab938f8457e6336e225193e0d34156285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb810df443a28f9ba566d84e044dcd617e85093d37d7d2da4bc95811715837bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-06-02T05:03:12Z",
    "title_canon_sha256": "8ad179ff72e8bae5c8dbc23bb5b2f32cd34c626562fcb2028f87bf332d19165a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01321",
    "kind": "arxiv",
    "version": 1
  }
}